Based on your question marks, I will elaborate. On my 27" iMac 5K Retina 2019 3.7GHZ i5 CPU computer running Monterey, I opened FINDER, selected APPLICATIONS, scrolled down to UTILITIES, and selected DISK UTILITY. When it opened, I selected FIRST AID, it brought up my Hard Drive name, I selected it and after 10 minutes the report came back indications everything was fine, no issues. I then POWERED DOWN my computer, waited 30 seconds, and POWERED UP my computer. I initiated a Time Machine backup and all went smoothly. Problem solved. I had the same problem on my 2021 MacBook Air with the new M1 CPU, after I installed Monterey. I repeated the above process and voila -- time machine worked perfectly.